Derived numbers of one variable convex functions

S. Kadry; G. Alferov; G. Ivanov; A. Sharlay

Derived numbers of one variable convex functions

S. Kadry
, G. Alferov
, G. Ivanov
, A. Sharlay

Beirut Arab University
St. Petersburg State University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for convexity of one variable functions are given.

Original language	English
Pages (from-to)	649-662
Number of pages	14
Journal	Italian Journal of Pure and Applied Mathematics
Issue number	41
State	Published - 2019
Externally published	Yes

Keywords

Almost periodic solution
Derived number
Dini-Hölder derived number
Nonsmooth analysis
Periodic solution

Cite this

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title = "Derived numbers of one variable convex functions",

abstract = "The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for convexity of one variable functions are given.",

keywords = "Almost periodic solution, Derived number, Dini-H{\"o}lder derived number, Nonsmooth analysis, Periodic solution",

author = "S. Kadry and G. Alferov and G. Ivanov and A. Sharlay",

year = "2019",

language = "English",

pages = "649--662",

journal = "Italian Journal of Pure and Applied Mathematics",

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T1 - Derived numbers of one variable convex functions

AU - Kadry, S.

AU - Alferov, G.

AU - Ivanov, G.

AU - Sharlay, A.

PY - 2019

Y1 - 2019

N2 - The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for convexity of one variable functions are given.

AB - The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for convexity of one variable functions are given.

KW - Almost periodic solution

KW - Derived number

KW - Dini-Hölder derived number

KW - Nonsmooth analysis

KW - Periodic solution

UR - https://www.scopus.com/pages/publications/85063903438

M3 - Article

AN - SCOPUS:85063903438

SN - 1126-8042

SP - 649

EP - 662

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

IS - 41

ER -

Derived numbers of one variable convex functions

Abstract

Keywords

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